Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter
While the size of the four-bar linkage is the basis of kinematic performance analysis in a beam pumping unit, there is still a lack of effective and direct measurement of it. Since the motor input power and the polished rod position are commonly used production data, a size identification algorithm...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/10/12/1133 |
| _version_ | 1797456670025056256 |
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| author | Jiaojian Yin Dong Sun Hongzhang Ma |
| author_facet | Jiaojian Yin Dong Sun Hongzhang Ma |
| author_sort | Jiaojian Yin |
| collection | DOAJ |
| description | While the size of the four-bar linkage is the basis of kinematic performance analysis in a beam pumping unit, there is still a lack of effective and direct measurement of it. Since the motor input power and the polished rod position are commonly used production data, a size identification algorithm of the four-bar linkage based on the motor input power and the polished rod position is proposed in this paper. Firstly, the kinematic model of a beam pumping unit, the speed model of a motor, the initial value, and the state space model are established. Secondly, a Cubature Kalman filter with nonlinear constraints is designed and the size identification algorithm is worked out. Lastly, the model and the size identification algorithm are validated based on the simulated and measured data, and the characteristics of identification with different measurement covariance are studied. The results demonstrate that both the model and the algorithm are feasible. The maximum relative error between the identified and the real size increases from 0.23% to 9.37% when the covariance increases from 10<sup>−6</sup> to 10<sup>−1</sup>. With the measured covariance of the polished rod velocity, the maximum relative error is 7.09%. A comparison of several current identification methods demonstrates that the proposed algorithm is more accurate. |
| first_indexed | 2024-03-09T16:11:09Z |
| format | Article |
| id | doaj.art-98a067ea4d45401cb8690180e75a02c8 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-09T16:11:09Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-98a067ea4d45401cb8690180e75a02c82023-11-24T16:16:11ZengMDPI AGMachines2075-17022022-11-011012113310.3390/machines10121133Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman FilterJiaojian Yin0Dong Sun1Hongzhang Ma2College of Science, China University of Petroleum (East China), Qingdao 266580, ChinaTechnical Testing Center of Shengli Oilfield Branch of Sinopec, Dongying 257100, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaWhile the size of the four-bar linkage is the basis of kinematic performance analysis in a beam pumping unit, there is still a lack of effective and direct measurement of it. Since the motor input power and the polished rod position are commonly used production data, a size identification algorithm of the four-bar linkage based on the motor input power and the polished rod position is proposed in this paper. Firstly, the kinematic model of a beam pumping unit, the speed model of a motor, the initial value, and the state space model are established. Secondly, a Cubature Kalman filter with nonlinear constraints is designed and the size identification algorithm is worked out. Lastly, the model and the size identification algorithm are validated based on the simulated and measured data, and the characteristics of identification with different measurement covariance are studied. The results demonstrate that both the model and the algorithm are feasible. The maximum relative error between the identified and the real size increases from 0.23% to 9.37% when the covariance increases from 10<sup>−6</sup> to 10<sup>−1</sup>. With the measured covariance of the polished rod velocity, the maximum relative error is 7.09%. A comparison of several current identification methods demonstrates that the proposed algorithm is more accurate.https://www.mdpi.com/2075-1702/10/12/1133four-bar linkage sizebeam pumping unitsCubature Kalman filtersize identification algorithm |
| spellingShingle | Jiaojian Yin Dong Sun Hongzhang Ma Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter Machines four-bar linkage size beam pumping units Cubature Kalman filter size identification algorithm |
| title | Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter |
| title_full | Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter |
| title_fullStr | Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter |
| title_full_unstemmed | Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter |
| title_short | Identification of the Four-Bar Linkage Size in a Beam Pumping Unit Based on Cubature Kalman Filter |
| title_sort | identification of the four bar linkage size in a beam pumping unit based on cubature kalman filter |
| topic | four-bar linkage size beam pumping units Cubature Kalman filter size identification algorithm |
| url | https://www.mdpi.com/2075-1702/10/12/1133 |
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